Atkin-Lehner |
3- 5+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
50325s |
Isogeny class |
Conductor |
50325 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
15840 |
Modular degree for the optimal curve |
Δ |
-248655825 = -1 · 35 · 52 · 11 · 612 |
Discriminant |
Eigenvalues |
-1 3- 5+ 1 11+ 2 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,152,-223] |
[a1,a2,a3,a4,a6] |
Generators |
[41:254:1] |
Generators of the group modulo torsion |
j |
15528727895/9946233 |
j-invariant |
L |
4.9193533962398 |
L(r)(E,1)/r! |
Ω |
1.0047850674114 |
Real period |
R |
0.48959260599946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50325j1 |
Quadratic twists by: 5 |